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Finding the Fourth Proportional to 500.48, 689.90 and 360.89

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Solution

The fourth proportional to 500.48, 689.90 and 360.89 is: 497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.48 : 689.90 = 360.89 : x
  2. Step 2: Convert to fraction form
    500.48/689.90 = 360.89/x
  3. Step 3: Cross multiply
    500.48x = 689.90 × 360.89
  4. Step 4: Simplify right side
    500.48x = 248,978.01
  5. Step 5: Solve for x
    x = 248,978.01/500.48
  6. Step 6: Final answer
    x = 497.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.